\documentclass{article}

\usepackage{../../util}

\title{Variational Principles}
\author{Cambridge University Mathematical Tripos: Part IB}

\begin{document}
\maketitle

\tableofcontentsnewpage{}

\section{History and motivation}
\input{01_history_and_motivation.tex}
\section{Calculus for functions on \(\mathbb R^n\)}
\input{02_calculus_for_functions_on_mathbb_r_n_.tex}
\section{Euler--Lagrange equation}
\input{03_euler_lagrange_equation.tex}
\section{Extensions to the Euler--Lagrange equation}
\input{04_extensions_to_the_euler_lagrange_equation.tex}
\section{Noether's theorem}
\input{05_noether_s_theorem.tex}
\section{Convexity and the Legendre transform}
\input{06_convexity_and_the_legendre_transform.tex}
\section{Second variations}
\input{07_second_variations.tex}

\end{document}
